Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191801	Solve the System of Equations	1/5x-2y=-2/5 1/4x+1/3y=8	$\frac{1}{5} x - 2 y = - \frac{2}{5}$ $\frac{1}{4} x + \frac{1}{3} y = 8$
191802	Solve for x	1-13w=2h+x	$1 - 13 w = 2 h + x$
191803	Solve for b	log of -5b = log of -3b+4	$\log (- 5 b) = \log (- 3 b + 4)$
191804	Multiply	-2/5*-2	$- \frac{2}{5} \cdot - 2$
191805	Solve for a	( fifth root of x^3)/(x^6)=x^a	$\frac{\sqrt[5]{x^{3}}}{x^{6}} = x^{a}$
191806	Simplify	(((4xy^2)^3)/((8xy)^2))^2	${(\frac{{(4 x y^{2})}^{3}}{{(8 x y)}^{2}})}^{2}$
191807	Solve for v	4/(3v)-1/v=(v+2)/(2v^2)	$\frac{4}{3 v} - \frac{1}{v} = \frac{v + 2}{2 v^{2}}$
191808	Divide Using Synthetic Division	(3x^4-x+2)/(x+2)	$\frac{3 x^{4} - x + 2}{x + 2}$
191809	Find the Distance Between Two Points	(4,7) and (9,-2)	$(4, 7)$ and $(9, - 2)$
191810	Graph	y<=2x+7 y>-1/3x-2	$y \leq 2 x + 7$ $y > - \frac{1}{3} x - 2$
191811	Simplify	(1+1/(10-b))/(1-1/(10+b))	$\frac{1 + \frac{1}{10 - b}}{1 - \frac{1}{10 + b}}$
191812	Solve the System of Inequalities	y>=2x y<x+4	$y \geq 2 x$ $y < x + 4$
191813	Solve for s	s-(-10)=2	$s - (- 10) = 2$
191814	Solve for X	(3X+9)/2+(X+1)/5=X+4	$\frac{3 X + 9}{2} + \frac{X + 1}{5} = X + 4$
191815	Find the Holes in the Graph	(x^2-9)/(x+3)	$\frac{x^{2} - 9}{x + 3}$
191816	Solve for h	h/-8=19/-2	$\frac{h}{- 8} = \frac{19}{- 2}$
191817	Solve by Factoring	x^2-x-6<0	$x^{2} - x - 6 < 0$
191818	Multiply	(x-1-i)(x-1+i)	$(x - 1 - i) (x - 1 + i)$
191819	Solve for x	x-3-2(6-2x)=2(2x-5)	$x - 3 - 2 (6 - 2 x) = 2 (2 x - 5)$
191820	Solve for q	m=3q-2p	$m = 3 q - 2 p$
191821	Find the Degree, Leading Term, and Leading Coefficient	p(x)=-3(x-1)^4(3x+1)(5-2x)^3	$p (x) = - 3 {(x - 1)}^{4} (3 x + 1) {(5 - 2 x)}^{3}$
191822	Solve for x	x(2x+1)=0	$x (2 x + 1) = 0$
191823	Graph	y=-3 cube root of -x-5	$y = - 3 \sqrt[3]{- x} - 5$
191824	Multiply	(x^2-1)/x*(2x)/(x+1)	$\frac{x^{2} - 1}{x} \cdot \frac{2 x}{x + 1}$
191825	Solve for x	y^2+6y+9=x+8	$y^{2} + 6 y + 9 = x + 8$
191826	Solve for c	P=a+b+c ; solve for c	$P = a + b + c$ ; solve for $c$
191827	Simplify	-(4w^-3z^-5)(8w)^2	$- (4 w^{- 3} z^{- 5}) {(8 w)}^{2}$
191828	Solve for x	2/(x+1)+3/(5x-2)=0	$\frac{2}{x + 1} + \frac{3}{5 x - 2} = 0$
191829	Solve for u	14u+7u-17=4	$14 u + 7 u - 17 = 4$
191830	Solve for x	square root of 5x-2 = square root of x+6	$\sqrt{5 x - 2} = \sqrt{x + 6}$
191831	Solve for x	-5(x/15-16)-30=50-1/3x	$- 5 (\frac{x}{15} - 16) - 30 = 50 - \frac{1}{3} x$
191832	Combine Like Terms	(3x^2+4)-(-5x^2+4x-1)	$(3 x^{2} + 4) - (- 5 x^{2} + 4 x - 1)$
191833	Solve the Inequality for x	2/3x>7	$\frac{2}{3} x > 7$
191834	Graph	F(x)=x/6	$F (x) = \frac{x}{6}$
191835	Solve for x	4=7/5-2/x	$4 = \frac{7}{5} - \frac{2}{x}$
191836	Solve for t	4(1/2t-2)>2(t-3)	$4 (\frac{1}{2} t - 2) > 2 (t - 3)$
191837	Solve the Inequality for b	b^2-4ac>0	$b^{2} - 4 a c > 0$
191838	Graph	f(x)=2- natural log of x+4	$f (x) = 2 - \ln (x + 4)$
191839	Simplify	(x+y)(2xy+y-2x-3)	$(x + y) (2 x y + y - 2 x - 3)$
191840	Solve for x	38x-18x-19x+3x-4=36	$38 x - 18 x - 19 x + 3 x - 4 = 36$
191841	Find the Zeros Using Descartes' Rule of Signs	f(x)=x^5-3x^3+2x^2+5x-4	$f (x) = x^{5} - 3 x^{3} + 2 x^{2} + 5 x - 4$
191842	Graph	-x^2+2x<=-15	$- x^{2} + 2 x \leq - 15$
191843	Find the Inverse	f(x)=(x-2)*180	$f (x) = (x - 2) \cdot 180$
191844	Simplify	-3/4+7/2	$- \frac{3}{4} + \frac{7}{2}$
191845	Find the Second Term	a_n=((-1)^n)/(n^2)	$a_{n} = \frac{{(- 1)}^{n}}{n^{2}}$
191846	Solve for x	\|2x+1\|=\|x-2\|	$\| 2 x + 1 \| = \| x - 2 \|$
191847	Multiply	(x^4-2x^2+2)(x^2-2x+3)	$(x^{4} - 2 x^{2} + 2) (x^{2} - 2 x + 3)$
191848	Solve for x	-(-x-1)=1/2(-9/2x+1)-1	$- (- x - 1) = \frac{1}{2} (- \frac{9}{2} x + 1) - 1$
191849	Solve for w	w^3+64=-12w^2-40w	$w^{3} + 64 = - 12 w^{2} - 40 w$
191850	Graph	-1/2f(x)	$- \frac{1}{2} f (x)$
191851	Solve for h	h=17+-18/6	$h = 17 + \frac{- 18}{6}$
191852	Simplify	f(x-1)	$f (x - 1)$
191853	Write in Slope-Intercept Form	(5,0) and (0,-4)	$(5, 0)$ and $(0, - 4)$
191854	Evaluate	cot(x)sin(x)	$\cot (x) \sin (x)$
191855	Solve for k	-6/5k=-24/25	$- \frac{6}{5} k = - \frac{24}{25}$
191856	Write in Exponential Form	( fifth root of 4x)^3	${(\sqrt[5]{4 x})}^{3}$
191857	Graph	f(x)=1/8(x+2)(x-2)(x-4)	$f (x) = \frac{1}{8} (x + 2) (x - 2) (x - 4)$
191858	Factor	x^4-81=0	$x^{4} - 81 = 0$
191859	Solve for v	30v=9v^2+25	$30 v = 9 v^{2} + 25$
191860	Evaluate	3cos(30)	$3 \cos (30)$
191861	Graph	p(x)=(x^2+4x+3)(x^2-4)	$p (x) = (x^{2} + 4 x + 3) (x^{2} - 4)$
191862	Graph	f^-1(x)=3^x	$f^{- 1} (x) = 3^{x}$
191863	Solve for a	(4a+12)/10=(3(a+1))/6	$\frac{(4 a + 12)}{10} = \frac{3 (a + 1)}{6}$
191864	Find the Inverse	y=x^(1/3)+5	$y = x^{\frac{1}{3}} + 5$
191865	Simplify	cube root of (3x^2y^5)/(4x)	$\sqrt[3]{\frac{3 x^{2} y^{5}}{4 x}}$
191866	Combine Like Terms	(-10x^2+x)+(-2x^2+9x+7)	$(- 10 x^{2} + x) + (- 2 x^{2} + 9 x + 7)$
191867	Find the Inverse	F(x)=2 square root of x	$F (x) = 2 \sqrt{x}$
191868	Find the Exact Value	sin(pi/4)-cos(pi/4)	$\sin (\frac{π}{4}) - \cos (\frac{π}{4})$
191869	Simplify	(-15r^6s^7t^4)/(3r^2s^9t^7)	$\frac{- 15 r^{6} s^{7} t^{4}}{3 r^{2} s^{9} t^{7}}$
191870	Evaluate	5/3+(-7/6)	$\frac{5}{3} + (- \frac{7}{6})$
191871	Find the Exact Value	arccos(cos(-(5pi)/2))	$\arccos (\cos (- \frac{5 π}{2}))$
191872	Combine Like Terms	(3x^2-10x+4)+(10x^2-5x+8)	$(3 x^{2} - 10 x + 4) + (10 x^{2} - 5 x + 8)$
191873	Graph	y=x+7 y=-2x-8	$y = x + 7$ $y = - 2 x - 8$
191874	Solve for θ	tan(theta)^2-3=0	$\tan^{2} (θ) - 3 = 0$
191875	Solve the Inequality for x	(x+3)^2>=2(x^2+7)	${(x + 3)}^{2} \geq 2 (x^{2} + 7)$
191876	Solve the System of Inequalities	-4>y+2>-10	$- 4 > y + 2 > - 10$
191877	Solve the System of Equations	3y=x-1 x-2y=2	$3 y = x - 1$ $x - 2 y = 2$
191878	Divide	((v^2-9)/(3v^2+12))÷((v+3)/(v^2+4))	$\frac{v^{2} - 9}{3 v^{2} + 12} \div \frac{v + 3}{v^{2} + 4}$
191879	Solve for x	8=-18+3/8(16-40x)	$8 = - 18 + \frac{3}{8} (16 - 40 x)$
191880	Find the Exact Value	cot(75 degrees )	$\cot (75 °)$
191881	Graph	y=-(x-3)^2+a	$y = - {(x - 3)}^{2} + a$
191882	Graph	y=4/5x-3 y=-1/5x-8	$y = \frac{4}{5} x - 3$ $y = - \frac{1}{5} x - 8$
191883	Find the Domain and Range	m(x) = square root of x-3+1	$m (x) = \sqrt{x - 3} + 1$
191884	Evaluate	(2pi)÷((2pi)/3)	$2 π \div \frac{2 π}{3}$
191885	Simplify	((5^3)^4)^2	${({(5^{3})}^{4})}^{2}$
191886	Solve the Inequality for B	2.50+5B<=21	$2.5 + 5 B \leq 21$
191887	Find All Complex Solutions	tan(theta)^2=3/2sec(theta)	$\tan^{2} (θ) = \frac{3}{2} \sec (θ)$
191888	Solve for p	p/8=13/2	$\frac{p}{8} = \frac{13}{2}$
191889	Solve for x	5/3x-1/6=x+1/4	$\frac{5}{3} x - \frac{1}{6} = x + \frac{1}{4}$
191890	Solve for z	2-3(z-5)+11=4	$2 - 3 (z - 5) + 11 = 4$
191891	Solve for x	x-3+8x+3=180	$x - 3 + 8 x + 3 = 180$
191892	Simplify	4/3-1	$\frac{4}{3} - 1$
191893	Solve for θ	tan(theta)=-2	$\tan (θ) = - 2$
191894	Evaluate	20% of 150	$20 %$ of $150$
191895	Evaluate	2(1/3)+1	$2 (\frac{1}{3}) + 1$
191896	Simplify	3-12*2+19	$3 - 12 \times 2 + 19$
191897	Factor	x(x-2y)-(y-x)*2	$x (x - 2 y) - (y - x) \cdot 2$
191898	Simplify	(-9xy^5z^3)/(36xy^4z^5)	$\frac{- 9 x y^{5} z^{3}}{36 x y^{4} z^{5}}$
191899	Solve the System of Equations	x+2y+z=-3 2x-2y+z=4 x-y+2z=5	$x + 2 y + z = - 3$ $2 x - 2 y + z = 4$ $x - y + 2 z = 5$
191900	Solve by Factoring	4x^2-11x=x-9	$4 x^{2} - 11 x = x - 9$